361944720 has 320 divisors, whose sum is σ = 1317415680. Its totient is φ = 91238400.

The previous prime is 361944719. The next prime is 361944743. The reversal of 361944720 is 27449163.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5402127 + ... + 5402193.

It is an arithmetic number, because the mean of its divisors is an integer number (4116924).

Almost surely, 2^361944720 is an apocalyptic number.

361944720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361944720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658707840).

361944720 is an abundant number, since it is smaller than the sum of its proper divisors (955470960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

361944720 is a wasteful number, since it uses less digits than its factorization.

361944720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 361944720 is about 19024.8448088283. The cubic root of 361944720 is about 712.6573170630.

The spelling of 361944720 in words is "three hundred sixty-one million, nine hundred forty-four thousand, seven hundred twenty".